101781397643519 has 32 divisors (see below), whose sum is σ = 113591924328960. Its totient is φ = 90411506640000.

The previous prime is 101781397643507. The next prime is 101781397643539. The reversal of 101781397643519 is 915346793187101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101781397643519 is a prime.

It is a super-2 number, since 2×101781397643519² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101781397643539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1638459542 + ... + 1638521660.

It is an arithmetic number, because the mean of its divisors is an integer number (3549747635280).

Almost surely, 2^{101781397643519} is an apocalyptic number.

101781397643519 is a deficient number, since it is larger than the sum of its proper divisors (11810526685441).

101781397643519 is a wasteful number, since it uses less digits than its factorization.

101781397643519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73631.

The product of its (nonzero) digits is 34292160, while the sum is 65.

The spelling of 101781397643519 in words is "one hundred one trillion, seven hundred eighty-one billion, three hundred ninety-seven million, six hundred forty-three thousand, five hundred nineteen".